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3 years ago

Please help me with this problem !!!!!!

Mathematics

1 answer:

iren [92.7K]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Given

s(t) = 10t²

To find s(2) and s(5) substitute t = 2 and t = 5 into f(t)

(a)

s(2) = 10 × 2² = 10 × 4 = 40

s(5) = 10 × 5² = 10 × 25 = 250

(b)

s(5) - s(2) = 250 - 40 = 210

This represents the distance travelled in 3 hours

(c)

The average rate of change is measured as

$\frac{s(5)-s(2)}{5-2}$

= $\frac{250-40}{3}$

= $\frac{210}{3}$

= 70 miles per hour

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If sinA=√3-1/2√2,then prove that cos2A=√3/2 prove that

Ivan

Answer:

$\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}$

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

Given :-

• $\sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}$

To Prove :-

• $\sf\implies cos2A =\dfrac{\sqrt3}{2}$

Proof :-

We know that ,

$\sf\implies cos2A = 1 - 2sin^2A$

Therefore , here substituting the value of sinA , we have ,

$\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2$

Simplify the whole square ,

$\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}$

Add the numbers in numerator ,

$\sf\implies cos2A = 1-2\times \dfrac{4-2\sqrt3}{8}$

Multiply it by 2 ,

$\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}$

Take out 2 common from the numerator ,

$\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}$

Simplify ,

$\sf\implies cos2A = 1 -\dfrac{ 2-\sqrt3}{2}$

Subtract the numbers ,

$\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}$

Simplify,

$\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }$

Hence Proved !

8 0

3 years ago

The Patel family looks at a map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 334

kotykmax [81]

Answer:

282.7miles

Step-by-step explanation:

334+514=848inch

12inch=4miles

848inch=x

$x = \frac{818 \times 4}{12} = 282.7$

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2 years ago

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snow_tiger [21]

Answer:

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Step-by-step explanation:

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Which number belongs to the solution set of the equation below?

ollegr [7]

The correct answer would be: C. 44
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3 years ago

Vivian found data about her city's population and made a scatter plot the equation of the linebbest fit for. Her data is p= 637.

Andre45 [30]

Answer:

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Step-by-step explanation:

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3 years ago